






def     snake_case   (UpperCAmelCase__    )			->							int:
  UpperCamelCase_:   int        =							len(_A    )
  UpperCamelCase_:   Optional[int]        =							len(matrix[0]    )
  UpperCamelCase_:   Optional[Any]        =							min(_A      ,       _A    )

  for row in range(_A    ):
    # Check if diagonal element is not zero
    if matrix[row][row] != 0:
      # Eliminate all the elements below the diagonal
      for col in range(row + 1      ,       _A    ):
        UpperCamelCase_:   List[str]        =							matrix[col][row] / matrix[row][row]
        for i in range(_A      ,       _A    ):
          matrix[col][i] -= multiplier * matrix[row][i]
    else:
      # Find a non-zero diagonal element to swap rows
      UpperCamelCase_:   Any        =							True
      for i in range(row + 1      ,       _A    ):
        if matrix[i][row] != 0:
          UpperCamelCase_ ,UpperCamelCase_:   Union[str, Any]        =							matrix[i], matrix[row]
          UpperCamelCase_:   str        =							False
          break
      if reduce:
        rank -= 1
        for i in range(_A    ):
          UpperCamelCase_:   Any        =							matrix[i][rank]

            # Reduce the row pointer by one to stay on the same row
      row -= 1

  return rank


if __name__ == "__main__":
   import doctest

   doctest.testmod()



from ...utils import (
    OptionalDependencyNotAvailable,
    is_torch_available,
    is_transformers_available,
    is_transformers_version,
)


try:
						if not (is_transformers_available() and is_torch_available()):
												raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
						from ...utils.dummy_torch_and_transformers_objects import KandinskyPipeline, KandinskyPriorPipeline
else:
						from .pipeline_kandinsky import KandinskyPipeline
						from .pipeline_kandinsky_imgaimg import KandinskyImgaImgPipeline
						from .pipeline_kandinsky_inpaint import KandinskyInpaintPipeline
						from .pipeline_kandinsky_prior import KandinskyPriorPipeline, KandinskyPriorPipelineOutput
						from .text_encoder import MultilingualCLIP


